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Finding the Fourth Proportional to 184.95, 275.99 and 165.48

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Solution

The fourth proportional to 184.95, 275.99 and 165.48 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 275.99 = 165.48 : x
  2. Step 2: Convert to fraction form
    184.95/275.99 = 165.48/x
  3. Step 3: Cross multiply
    184.95x = 275.99 × 165.48
  4. Step 4: Simplify right side
    184.95x = 45,668.62
  5. Step 5: Solve for x
    x = 45,668.62/184.95
  6. Step 6: Final answer
    x = 246.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.